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Finding the Fourth Proportional to 184.48, 276.28 and 166.28

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Solution

The fourth proportional to 184.48, 276.28 and 166.28 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.48 : 276.28 = 166.28 : x
  2. Step 2: Convert to fraction form
    184.48/276.28 = 166.28/x
  3. Step 3: Cross multiply
    184.48x = 276.28 × 166.28
  4. Step 4: Simplify right side
    184.48x = 45,939.84
  5. Step 5: Solve for x
    x = 45,939.84/184.48
  6. Step 6: Final answer
    x = 249.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.